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An example of Kaluza-Klein-like theory with boundary conditions, which lead to massless and mass protected spinors chirally coupled to gauge fields. (English) Zbl 1247.83182
Summary: The genuine Kaluza-Klein-like theories (with no fields in addition to gravity) have difficulties with the existence of massless spinors after the compactification of some of dimensions of space [E. Witten, Nucl. Phys. B 186, No. 3, 412–428 (1981); Princeton Technical Rep. PRINT-83-1056, October 1983]. We assume a $$M(1+3)\times$$ a flat finite disk in (1+5)-dimensional space, with the boundary allowing spinors of only one handedness. Massless spinors then chirally couple to the corresponding background gauge gravitational field, which solves equations of motion for a free field, linear in the Riemann curvature.

##### MSC:
 83E15 Kaluza-Klein and other higher-dimensional theories 83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism 81T13 Yang-Mills and other gauge theories in quantum field theory
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##### References:
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